Minimality conditions for wave speed in anisotropic smectic C* liquid crystals

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Crooks, Elaine C. M. and Grinfeld, Michael and McKay, Geoffrey (2018) Minimality conditions for wave speed in anisotropic smectic C* liquid crystals. Mathematical Methods in the Applied Sciences, 41 (1). pp. 88-102. ISSN 0170-4214 (https://doi.org/10.1002/mma.4596)

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Abstract

We discuss minimality conditions for the speed of monotone travelling waves in a sample of smectic C* liquid crystal subject to a constant electric field, dealing with both isotropic and anisotropic cases. Such conditions are important in understanding the properties of domain wall switching across a smectic layer, and our focus here is on examining how the presence of anisotropy can affect the speed of this switching. We obtain an estimate of the influence of anisotropy on the minimal speed, sufficient conditions for linear and non-linear minimal speed selection mechanisms to hold in different parameter regimes, and a characterisation of the boundary separating the linear and non-linear regimes in parameter space.

ORCID iDs

Crooks, Elaine C. M., Grinfeld, Michael and McKay, Geoffrey ORCID logoORCID: https://orcid.org/0000-0002-3807-6890;
  • Item type:Article
    ID code:61850
    Dates:
    Date
    Event
    21 December 2018
    Published
    18 September 2017
    Published Online
    22 August 2017
    Accepted
    Notes:This is the peer reviewed version of the following article: Crooks ECM, Grinfeld M, McKay G. Minimality conditions for wave speed in anisotropic smectic C* liquid crystals. Math Meth Appl Sci. 2017;1–15, which has been published in final form at https://doi.org/10.1002/mma.4596. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:21 Sep 2017 16:33
    Last modified:11 Nov 2024 11:47
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/61850
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